On the Dependency of Estimates of the Convergence Rate in the Central Limit Theorem on the Covariance Operator of the Summands

V. V. Senatov

doi:10.1137/1130042

On the Dependency of Estimates of the Convergence Rate in the Central Limit Theorem on the Covariance Operator of the Summands

Theory of Probability and Its Applications ◽

10.1137/1130042 ◽

1986 ◽

Vol 30 (2) ◽

pp. 380-383 ◽

Cited By ~ 5

Author(s):

V. V. Senatov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Covariance Operator ◽

The Central Limit Theorem

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On the Dependence of Estimates of the Convergence Rate in the Central Limit Theorem for Balls with Center at Zero on the Covariance Operator of the Summands

Theory of Probability and Its Applications ◽

10.1137/1131013 ◽

1987 ◽

Vol 31 (1) ◽

pp. 119-122 ◽

Cited By ~ 1

Author(s):

V. V. Senatov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Covariance Operator ◽

The Central Limit Theorem

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On More Precise Convergence Rate Estimates in the Central Limit Theorem

Theory of Probability and Its Applications ◽

10.1137/1123080 ◽

1979 ◽

Vol 23 (3) ◽

pp. 660-663 ◽

Cited By ~ 9

Author(s):

V. V. Ul’yanov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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AN IMPROVED NONUNIFORM CONVERGENCE RATE ESTIMATE IN THE CENTRAL LIMIT THEOREM IN Rk

Proceedings of the Third Finnish-Soviet Symposium on Probability Theory and Mathematical Statistics, Turku, Finland, August 13–16, 1991 ◽

10.1515/9783112314203-017 ◽

1993 ◽

pp. 209-222

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Rate Estimate ◽

Convergence Rate Estimate ◽

The Central Limit Theorem

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Addendum: A Lower Bound for the Convergence Rate in the Central Limit Theorem

Theory of Probability and Its Applications ◽

10.1137/1129026 ◽

1985 ◽

Vol 29 (1) ◽

pp. 196-197 ◽

Cited By ~ 1

Author(s):

V. K. Matskyavichus

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Lower Bound ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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On the Convergence Rate in the Central Limit Theorem on a Class of Sets in Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1130091 ◽

1986 ◽

Vol 30 (4) ◽

pp. 702-711 ◽

Cited By ~ 5

Author(s):

B. A. Zalesskii

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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Addendum: On More Precise Convergence Rate Estimates in the Central Limit Theorem

Theory of Probability and Its Applications ◽

10.1137/1124029 ◽

1979 ◽

Vol 24 (1) ◽

pp. 237-237

Author(s):

V. V. Ul’yanov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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Estimates of convergence rate in the central limit theorem in C(S)

Lithuanian Mathematical Journal ◽

10.1007/bf00968376 ◽

1977 ◽

Vol 16 (4) ◽

pp. 587-611 ◽

Cited By ~ 2

Author(s):

V. J. Paulauskas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem ◽

Estimates Of Convergence Rate

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Estimates for the convergence rate in the central limit theorem for randomized separable statistics in a multinomial scheme

Journal of Soviet Mathematics ◽

10.1007/bf01095077 ◽

1987 ◽

Vol 38 (6) ◽

pp. 2346-2357

Author(s):

Sh. A. Mirakhmedov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

The Central Limit Theorem

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Estimate of the convergence rate in the central limit theorem for weakly dependent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf01053921 ◽

1977 ◽

Vol 17 (3) ◽

pp. 313-320 ◽

Cited By ~ 1

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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Structural improvements of nonuniform convergence rate estimates in the central limit theorem with applications to poisson random sums

Doklady Mathematics ◽

10.1134/s1064562411060299 ◽

2011 ◽

Vol 84 (2) ◽

pp. 675-680 ◽

Cited By ~ 6

Author(s):

Yu. S. Nefedova ◽

I. G. Shevtsova

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Sums ◽

The Central Limit Theorem

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